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10300369 is a prime number
BaseRepresentation
bin100111010010…
…101111010001
3201101022110011
4213102233101
510114102434
61004434521
7153360142
oct47225721
921338404
1010300369
1158a5902
123548a41
1321984c1
141521ac9
15d86e64
hex9d2bd1

10300369 has 2 divisors, whose sum is σ = 10300370. Its totient is φ = 10300368.

The previous prime is 10300357. The next prime is 10300417. The reversal of 10300369 is 96300301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9641025 + 659344 = 3105^2 + 812^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300369 - 215 = 10267601 is a prime.

It is a super-3 number, since 3×103003693 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

10300369 is a modest number, since divided by 369 gives 103 as remainder.

It is not a weakly prime, because it can be changed into another prime (10300669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150184 + 5150185.

It is an arithmetic number, because the mean of its divisors is an integer number (5150185).

Almost surely, 210300369 is an apocalyptic number.

It is an amenable number.

10300369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300369 is an equidigital number, since it uses as much as digits as its factorization.

10300369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 10300369 is about 3209.4187947353. The cubic root of 10300369 is about 217.5793096069.

The spelling of 10300369 in words is "ten million, three hundred thousand, three hundred sixty-nine".